The number of gallons of gasoline used varies directly with the number of miles
driven. If 45 gallons of gasoline have been used after driving 625 miles, how
many gallons would be used after driving 900 miles? *

The initial investment of the function is 20 dollars.

The rate growth in percentage is 4%.

The investment after 10 years is 29.6 dollars.

The function \(y=20(1.04)^{t}\) represents the value y of a saving account after t years.

Therefore, the initial investment of the function is 20 dollars.

The rate growth in percentage can be calculated as follows;

rate growth in percent = 0.04 × 100

rate growth in percent = 4 %

Let's find the value of the investment after 10 years.

Therefore,

\(y=20(1.04)^{t}\)

t = 10

\(y=20(1.04)^{10}\)

\(y=20(1.48024428492)\)

y = 29.6048856984

Therefore, the investment after 10 years is as follows:

y = 29.6 dollars

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Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2. Therefore, option D is correct.

Given that the point A is at -4 and the point B is at 6.

We need to find the point that divides AB into a 3:2 ratio.

One way to find the point that divides AB into a 3:2 ratio is to divide AB into 5 equal parts.

Each equal part is 2 units, so the point that divides AB into a 3:2 ratio is 2.

Therefore, option D is correct.
Option A is incorrect because the point that divides AB into a 3:2 ratio is not 0.Option B is incorrect because the point that divides AB into a 3:2 ratio is not 3.Option C is incorrect because the point that divides AB into a 3:2 ratio is not 1.

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Answer:

Step-by-step explanation:

The error that Jose makes in the given expression is that:

D). In Step 4, the inequality should be x+82/426 a minimum of 0.25.

Given that,

Step 1:

Assuming \(x\) as the variable to denote the no. of signatures from the students.

Step 2:

\((x + 82)/426\) which is correct because it displays the ratio equivalently regarding the number of signatures needed upon the total students present in the school.

Step 3:

This also correctly displays the decimal form of 25% is \(0.25\)

Step 4:

This displays an error because to make this inequality Jose requires a minimum of 25% or 0.25 but he gets:

\((x + 82)/426\)  \(\leq\) \(0.25\)

Thus, option D is the correct answer.

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Alaska occupies 17.22% of the surface area of the United States. Rounding to the nearest whole number, we get 17%. Hence, the answer is:17%

We are given that the surface area of the United States is 3.797 million square miles and the state of Alaska occupies 655,400 square miles. We need to determine what percentage of the surface area of the United States is occupied by Alaska using ratios.To find the percentage, we need to first find the ratio of Alaska's surface area to the surface area of the United States. We can do this by dividing the surface area of Alaska by the surface area of the United States. That is,655,400 / 3,797,000 = 0.1722We can express this ratio as a percentage by multiplying by 100. That is,0.1722 × 100 = 17.22%

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Answer:

10 weeks

Step-by-step explanation:

1 because 20 times 10 is 200 and if he starts with 500 then he can withdraw 20 dollars a week for 10 weeks to have 300 left by the end of the summer, hope this helps :)

Answer:

461.814 is part A

103.67 is part

Using common factor method, sum of the given expressions is 17.14m + 9.37

what is common factor ?

In mathematics, a common factor is a factor that two or more numbers have in common. For example, the numbers 12 and 18 have common factors of 1, 2, 3, and 6. The greatest common factor (GCF) is the largest number that divides evenly into two or more numbers.

In algebra, we often use the term "common factor" when referring to expressions. When two or more algebraic expressions have a factor in common, we can use the distributive property to factor out the common factor.

According to the question:
To add the expressions (5.19+4m)+(4.18+3.95m), we can first group the like terms:

(5.19 + 4.18) + (4m + 3.95m)

9.37 + 7.95m

So, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = 9.37 + 7.95m

Now, we can use the distributive property to factor out a common factor of m from 7.95m:

9.37 + 7.95m = 4m + (5.19 + 7.95)m

We can factor out a common factor of 1 from (5.19 + 7.95)m:

4m + (5.19 + 7.95)m = (4 + 5.19 + 7.95)m

Adding the coefficients, we get:

4 + 5.19 + 7.95 = 17.14

Therefore, the sum of the expressions is:

(5.19+4m)+(4.18+3.95m) = (4m+5.19)+(3.95m+4.18)= 17.14m + 9.37.

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Answer:

To investigate the different sizes of ponds and their effects on the garden, I followed these steps:

1. I drew several sizes of ponds on a grid paper, using the given dimensions of 18 ft2, 24 ft2, and 30 ft2. I made sure that the length and width of each pond were whole numbers. I also drew borders around the ponds to represent the tiles needed for each pond. Here is an example of how I drew a 24 ft2 pond:

| | | | | | | | | | |

| | | | | | | | | | |

|X|X|X|X|X|X|X|X|X|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|O|O|O|O|O|O|O|O|X|

|X|X|X|X|X|X|X|X|X|X|

In this drawing, X represents a tile and O represents water.

2. I recorded the number of tiles needed for each pond in a table, as well as the length and width of each pond. Here is the table I made:

Pond size (ft2) Length (ft) Width (ft) Number of tiles

18 6 3 22

24 6 4 28

30 6 5 34

3. I looked for patterns in the table and noticed that the number of tiles increased by 6 for every increase of 1 ft in width. I also noticed that the number of tiles was always equal to twice the length plus twice the width minus four.

4. I came up with a numerical expression that relates the length and width to the number of tiles needed. The expression is:

Number of tiles = 2 x Length + 2 x Width - 4

This expression works for any pond size with whole number dimensions.

By following these steps, I was able to compare different pond sizes and their tile requirements. I hope this helps you decide on the best size for your pond and garden.

________________________________________________________

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When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Step-by-step explanation:

this is first an arithmetic sequence with the first term A1=3(1)+1=4 And the 12th term A12=3(12)+1=37. Then use this formula

S12=12/2 ×(4+37)

=6×41

=246

Answer:

17

Step-by-step explanation:

(11+14÷2)−1

 (11+7)−1

    18−1

       17

The current amount of the sale is 96

The sale is 120

It was decreased by 20%

20/100 × 120

= 0.2 × 120

= 24

The amount of the current sale is

120-24

= 96

Hence the amount of the current sale which is calculated by subtracting 24 from 120 is 96

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Answer:

2/20 people

Step-by-step explanation:

that should be right

The standard form of the equation of this hyperbola with vertices at (12, 0) and (–12, 0) is: y squared over 144 minus x squared over 25 equals 1.

Mathematically, the standard form of the equation of a hyperbola is represented by this mathematical expression:

(y - k)²/a² - (x - h)²/b² = 1          .......equation 1.

Where:

From the information provided above, we have the following parameters:

Vertices = (12, 0) and (–12, 0)

h = 0

k = 0

Asymptote = ±5/12(x) = bx/a      ......equation 2.

Comparing equation 1 and equation 2, we have:

b = 5

a = 12

Substituting the given parameters into the the standard form, we have;

(y - k)²/a² - (x - h)²/b² = 1

(y - 0)²/12² - (x - 0)²/5² = 1

(y - 0)²/144 - (x - 0)²/25 = 1

y²/144 - x²/25 = 1

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In Jameson's drawing, the nose cone has an area of 5 square inches. Each of the fins has an area of 3 square inches and the total area of the drawn rocket is 22 square inches.

From the question, we have the following parameters that can be used in our computation:

The drawing (see attachment)

The area of the nose cone is

Area = 1/2 * 5 * 2

Area = 5 square inches

For the fin, we have

Fin = 1/2 * 3 * 2

Fin = 3 square inches

Lastly, we have

Total area = (4 + 2 + 1) * 2 + 5 + 3

Total area = 22 square inches

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Answer:

(B) y = f(x - 3) is the answer.

please thanks and follow me.

Answer:

BE careful check that this is the right question for you this one is b there is another that looks similar that is a

Step-by-step explanation:

Answer:

348.7 Calories (per 100 g)Step-by-step explanation:

Answer:

it is 22 because if you divide 110 ÷ 5=22

We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.

In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.

To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),

we can set the function equal to zero and solve for x.

Setting h(x) = 0, we have:

(x - 6)(x^2 + 8x + 16) = 0

Setting x - 6 = 0, we find:

x = 6

Setting x^2 + 8x + 16 = 0,

we can attempt to factor or use the quadratic formula.

Therefore, the function:

h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.

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Answer:  11 nickels 12 dimes

Step-by-step explanation:

Use the following equations to solve...

.05n+.10d=1.75

and

n+d=25

Answer:

Fill in the blanks to declare sum equal to a + b (int _ = a __b)Which of the following is not a valid variable name in python?What shape represents the start and end of a flowchart?Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?An integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before they

can be usedAn integer data type can hold decimal values.Which of the following is not a valid variable name in python?Fill in the blanks to declare sum equal to a + b (int _ = a __b)Variables must be defined with a name and a data type before th

The critical points of the given function are p = 2 ± √13.

A relation between a collection of inputs and outputs is known as a function.

A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain.

Critical function:

The key points are locations inside the function's domain where the function's nature changes.

The function stops increasing or decreasing at these places.

The function is: \(h(p)=\frac{p-2}{p^2+9}\)

The derivative test will be applied here:

\(\begin{aligned}& \therefore h^{\prime}(p)=0 \\& \Rightarrow \frac{d}{d p}\left(\frac{p-2}{p^2+9}\right)=0 \\& \Rightarrow \frac{\frac{d}{d p}(p-2)\left(p^2+9\right)-\frac{d}{d p}\left(p^2+9\right)(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{1 \cdot\left(p^2+9\right)-2 p(p-2)}{\left(p^2+9\right)^2}=0 \\& \Rightarrow \frac{-p^2+4 p+9}{\left(p^2+9\right)^2}=0 \\& \Rightarrow-p^2+4 p+9=0\end{aligned}\)

Then,

\(\begin{aligned}& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{4^2-4(-1) 9}}{2(-1)} \\& \Rightarrow p_{1,2}=\frac{-4 \pm \sqrt{52}}{-2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm \sqrt{52}}{2} \\& \Rightarrow p_{1,2}=-\frac{-4 \pm 2 \sqrt{13}}{2} \\& \Rightarrow p_{1,2}=2 \pm \sqrt{13}\end{aligned}\)

Therefore, the critical points of the given function are p = 2 ± √13.

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120 different ways can you choose your dinner.

Given that, your mom suggested ten different choices for you to eat for dinner over the next week.

In mathematics, a combination is a selection of items from a set that has distinct members, such that the order of selection does not matter.

The combination formula is \(nC_{r} =\frac{n!}{r!(n-r)!}\)

Here, n= number of sample points 10

r= number of sample points in each combination 7

Now, \(10C_{7} =\frac{10!}{7!(10-7)!}\)

⇒\(10C_{7} =\frac{10!}{7!.3!}\)=120

Hence, 120 different ways can you choose your dinner.

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Answer:

Step-by-step explanation:

C

since its pointing towards the positive side frm d negative

Answer:

The ball will be the 7 ft high at 2 different times.

Step-by-step explanation:

The height in meters of the ball is given by the following equation:

\(h(t) = -16t^2 + 25t\)

7 feet high

The height, by the equation, is given in meters, so we have to work in meters. Since each feet has 0,3048 meters, 7 feet have have 2.1336 meters. So, we have to solve the following equation

\(2,1336 = -16t^2 + 25t\)

\(16t^2 - 25t + 2,1336 = 0\)

At how many different times will the ball be 7 ft. High?

We have to find the number of solutions for the equation above.

It is given according to the value of \(\Delta = b^2 - 4ac\). If it is positive, there are two solutions, zero one solution and negative no solutions.

In this equation \(a = 16, b = -25, c = 2.1336\). So

\(\Delta = b^2 - 4ac = (-25)^2 - 4*16*2.1336 = 488\)

Since the coefficient is positive, the ball will be the 7 ft high at 2 different times.

Answer:

hakjafhskjfhakjhf Y=mx + b

Step-by-step explanation:

Yep Yep thats how you do it

Answer:

xfjsryjfncbhzdjdzetjz

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First is the quadratic equation because (x+4) is squared so we have a parabola graph

Second and third are equations of a lines because we have only x in the equations

...so choices B and C have parabola ,line, line

The parabola has the condition x< -3 since we have a "less then" sign the bubble has to be empty on the parabola line on the graph C

Answer:

A

Step-by-step explanation: